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Internal solitary waves generated by a moving bottom disturbance
Published online by Cambridge University Press: 22 May 2023
Abstract
The strongly nonlinear Miyata–Choi–Camassa model under the rigid lid approximation (MCC-RL model) can describe accurately the dynamics of large-amplitude internal waves in a two-layer fluid system for shallow configurations. In this paper, we apply the MCC-RL model to study the internal waves generated by a moving body on the bottom. For the case of the moving body speed $U=1.1c_{0}$, where
${c_0}$ is the linear long-wave speed, the accuracy of the MCC-RL results is assessed by comparing with Euler's solutions, and very good agreement is observed. It is found that when the moving body speed increases from
$U=0.8c_{0}$ to
$U=1.241c_{0}$, the amplitudes of the generated internal solitary waves in front of the moving body become larger. However, a critical moving body speed is found between
$U=1.241c_{0}$ and
$U=1.242c_{0}$. After exceeding this critical speed, only one internal wave right above the body is generated. When the moving body speed increases from
$U=1.242c_{0}$ to
$U=1.5c_{0}$, the amplitudes of the internal waves become smaller.
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- © The Author(s), 2023. Published by Cambridge University Press
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